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Dynamics of Entanglement Wedge Cross Section from Conformal Field Theories

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arxiv 1907.06646 v2 pith:27YGLXIH submitted 2019-07-15 hep-th cond-mat.str-elquant-ph

Yuya Kusuki , Kotaro Tamaoka This is my paper · ORCID
classification hep-thcond-mat.str-elquant-ph
keywords entanglementcrossentropyresultssectionwedgecorrelationdirectly
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We derive dynamics of the entanglement wedge cross section directly from the two-dimensional holographic CFTs with a local operator quench. This derivation is based on the reflected entropy, a correlation measure for mixed states. We further compare these results with the mutual information and ones for RCFTs. Our results directly suggest the classical correlation also plays an important role in the subregion/subregion duality even for dynamical setup. Besides a local operator quench, we study the reflected entropy in a heavy state and provide improved bulk interpretation. We checked the above results also hold for the odd entanglement entropy, which is another measure for mixed states related to the entanglement wedge cross section.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$

    hep-th 2025-12 conditional novelty 6.0 of 10

    In pure BTZ black-hole states the genuine tripartite multi-entropy grows linearly with subsystem size at high temperature (volume law), peaks at (1/6) of the Bekenstein-Hawking entropy plus a universal constant, and c...

  2. Localized Black Holes in AdS$_3$: What Happens Below c/12 Stays Below c/12

    hep-th 2024-12 conditional novelty 6.0 of 10

    Localized black holes in AdS3 x S3 x T4 fill the low-energy spectrum, dominate the microcanonical ensemble below a small positive energy, and appear to have the same entanglement entropy as BTZ black holes.

  3. Entanglement Entropy after Double-Excitation as Interaction Measure

    hep-th 2019-08 conditional novelty 6.0 of 10

    For double local operator excitations in pure 2D CFTs, the late-time entanglement entropy equals the sum of two single-quench results plus a negative c/6 log((l_B - l_A)/(t - l_A)) interaction term.

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